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Finding the Fourth Proportional to 36,580, 50,480.76 and 19,813.36

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Solution

The fourth proportional to 36,580, 50,480.76 and 19,813.36 is: 27,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 50,480.76 = 19,813.36 : x
  2. Step 2: Convert to fraction form
    36,580/50,480.76 = 19,813.36/x
  3. Step 3: Cross multiply
    36,580x = 50,480.76 × 19,813.36
  4. Step 4: Simplify right side
    36,580x = 1,000,193,470.95
  5. Step 5: Solve for x
    x = 1,000,193,470.95/36,580
  6. Step 6: Final answer
    x = 27,342.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.